Particularly, in our proposed work (SE), there is about 0([M.sup.2]) for computation of the
Euclidean norm, division of each entry of a row by its corresponding
Euclidean norm and summing all the scaled-energy values to get the final test statistic [T.sub.SE] .
Face motion [F.sub.6] Average value of the
Euclidean norm of a set of landmarks in the last N frames.
Save [S.sub.R]; While (
Euclidean Norm is Not Min.) TURN in-place; // rotate CCW Capture measured scan ([mathematical expression not reproducible]); OutLierFilter([mathematical expression not reproducible]); [D.sub.i] [left arrow] CalcEuclideanNorm([S.sub.R], [mathematical expression not reproducible]); //calculate
Euclidean Norm between ref.
Since [??] and [??] are complex while gamma is constrained to be real (and nonnegative), the
Euclidean norm used by McCulloch [13] and Nolan et al.
where [parallel]d[parallel] indicates the
Euclidean norm of a vector d.
where [parallel]x[parallel] is the
Euclidean norm given by [parallel]s[parallel] = [square root of [s.sup.2.sub.1] + ...
There exists [T.sub.1] > [t.sub.0] such that [parallel][x.sub.i](t) - [x.sub.j](t)[parallel] [less than or equal to] [epsilon], where t > [T.sub.1], i, j = 1, 2, ..., N, and [parallel] * [parallel] denotes the
Euclidean norm.
In [1] and [2] the formulae for the determinant, eigenvalues,
Euclidean norm, spectral norm and inverse of the right circulant matrices with arithmetic and geometric sequences were derived.
The goal of the QICLCMP beamformer is to impose an additional quadratic inequality constraint on the
Euclidean norm of w for which the purpose is to improve the robustness to pointing errors and to random perturbations in sensor parameters.